MathDB
Number of Real Solutions

Source:

March 8, 2009
floor functionalgebrapolynomialproduct of rootssum of roots

Problem Statement

Let ⌊x⌋ \lfloor x \rfloor be the greatest integer less than or equal to x x. Then the number of real solutions to 4x^2 \minus{} 40 \lfloor x \rfloor \plus{} 51 \equal{} 0 is <spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> 4 <span class='latex-bold'>(A)</span>\ 0 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 2 \qquad <span class='latex-bold'>(D)</span>\ 3 \qquad <span class='latex-bold'>(E)</span>\ 4
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